Well, we do have the ability to predict with high accuracy how gravity works here and now.
But, our observations of how the stars are moving in other galaxies, and apparently in our own, don't seem to match what we think we see as mass and what we predict about gravity. So, is that an indication that there is matter we don't see, i.e., "dark matter", or maybe that we are not accurately calculating the relativistic frame dragging of space by the rotating matter, or what?
And, when we start trying to think about how gravity would work if the whole universe was just at tiny ball of energy, with no matter able to form at the high "temperature", are we really sure about that?
Regarding Helio's question about being sure about how light would behave: Again, we seem to have pretty good mathematical models for most macro observations. But, we need to choose between 2 different models to make calculations match observations (waves or particles). We know by experience which works for things that we have already observed. But, how do we know for things we have not been able to directly observe?
Here's a question in my mind that somebody may already have an answer for: Would two blobs of light energy have a gravitational attraction for each other? We know that they would respond to the gravitational attraction of matter, but that is described by General Relativity as photons traveling through space warped by the mass of the matter. So, a parallel question would be whether light in sufficient density can also warp space. Light has "mass" in the sense that it can impart momentum transfer by absorption or reflection, but it has no "rest" mass in our models. So, can enough light warp space? Can light "frame drag" space in huge cosmological or tiny sub-atomic scales?
BTW, is space really nothing, i.e., empty vacuum? How do you warp a vacuum? Yes, I know that some people think of "the vacuum of space" as a region that has no matter, but is filled with energy fields. But, then energy fields are not "nothing" and are even calculated to exert forces on matter and even the "framework" of space. So, our language makes us communicate in what are basically analogies to what we have experienced in our local, macro world, and that seems to be less than adequate for comprehending things on cosmological and subatomic scales.